1528 (number and year)

Mathematical characteristics

1528 is an even composite integer. Its prime factorization is 2³ × 191, so it equals eight times the prime 191. Its positive divisors are: 1, 2, 4, 8, 191, 382, 764 and 1528. The sum of all divisors is 2880, and the sum of proper divisors (1 through 764) is 1352, which is less than 1528, so it is classified as a deficient number.

• Binary: 10111111000
• Hexadecimal: 0x5F8
• Divisible by 8 (last three decimal digits 528 divisible by 8)
• Refactorable: it has 8 divisors and 8 divides 1528

1528 as a calendar year

The year 1528 lies in the 16th century and, in regions using the Julian calendar at the time, was a leap year. Historically it falls in a period defined by intensive cultural, religious and geopolitical change: the Italian Renaissance shaped arts and learning; Protestant ideas continued to spread across northern Europe; and voyages across the Atlantic and around Africa were transforming contacts between Europe, Africa, Asia and the Americas. Military and dynastic rivalries among major states — notably Habsburg and French interests — also marked the era.

Uses and notable facts

As a number, 1528 serves like any integer in counting, indexing, serial numbers and computations. Its arithmetic properties (power of two factor, prime cofactor, deficiency) make it a modest example in number‑theory discussions. As a year, 1528 acts as a chronological marker used by historians to group events and developments into the broader currents of early modern history.

Distinctions

1528 is notable mathematically for combining a small power of two with a relatively large prime factor (191). It is not a round decimal milestone, not a perfect or abundant number, but it is refactorable — a trait of interest in certain divisor‑function studies. Historically, the label "1528" helps place events in a transformative century without implying any single dominant event tied uniquely to that number.